Hermite-Hadamard Type Integral Inequalities for Strongly p-convex FUnctions

Year 2018, Volume: 10, 184 - 189, 29.12.2018

Ayşe Kübra Demirel , Sercan Turhan Selahattin Maden , İmdat İşcan

Abstract

In this paper we obtain the Hermite-Hadamard Inequality for strongly p-convex function. Using this strongly p-convex function we get
the new theorem and corollary. 

Keywords

Convex functions, Integral inequalities, Strongly p-convex functions

References

• Angulo, H., & Gimenez, J., & Moros, A. M., & Nikodem, K. (2011). On strongly h-convex functions. Annals of Functional Analysis, No.2, 85-91.
• Erdem, Y., & Öğünmez, H., & Budak, H. (2016). Some generalized inequalities of Hermite-Hadamard type for strongly s-convex functions. RGMIA Research Report Collection, 19, Article. 110.
• İşcan, İ. (2014). Hermite-Hadamard type inequaities for harmonically convex functions. Hacettepe Journal of Mathematics and Statistic 43(6), 935-942.
• Nikodem, K., & Sanchez, J. L., & Sanchez L. (2014). Jensen and Hermite-Hadamard inequalities for strongly convex set-valued maps. Mathematica Aeterna, 4 (8), 979-987.
• Niculescu, P.C. (2000). Convexity according to the geometric mean. Mathematical Inequalities and Applications, No.2(3), 155-167.
• Niculescu, P.C. (2003). Convexity according to means. Mathematical Inequalities and Applications, No.4(6), 571-579.
• Noor, M. A., & Noor, K. I., & Iftikhar, S. (2016). Hermite-Hadamard inequalities for strongly harmonic convex functions. Journal of Inequalities and Special Functions, 7 (3), 99-113.
• Turhan, S., & İşcan, İ., & Kunt, M. (2017). Hermite-Hadamard type inequalities for M_φ A convex functions.
• Turhan, S., & Okur, N., & Maden, S. (2016). Hermite-Hadamard type inequality for strongly convex functions via sugeno integrals. Sigma J Eng and Nat. Sci., 8(1), 1-10.
• Zhang, K. S., Wan, J. P. (2007). p-convex functions and their properties. Pure Appl. Math. 23(1), 130-133.